GCD of 944, 616, 676, 355 Calculator

Given Input numbers are 944, 616, 676, 355

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 944

List of positive integer divisors of 944 that divides 944 without a remainder.

1, 2, 4, 8, 16, 59, 118, 236, 472, 944

Divisors of 616

List of positive integer divisors of 616 that divides 616 without a remainder.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

Divisors of 676

List of positive integer divisors of 676 that divides 676 without a remainder.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 355

List of positive integer divisors of 355 that divides 355 without a remainder.

1, 5, 71, 355

Greatest Common Divisior

We found the divisors of 944, 616, 676, 355 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 944, 616, 676, 355 is 1.

Therefore, GCD of numbers 944, 616, 676, 355 is 1

Given Input Data is 944, 616, 676, 355

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 944 is 2 x 2 x 2 x 2 x 59

Prime Factorization of 616 is 2 x 2 x 2 x 7 x 11

Prime Factorization of 676 is 2 x 2 x 13 x 13

Prime Factorization of 355 is 5 x 71

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(944, 616) = 72688

GCD(944, 616) = ( 944 x 616 ) / 72688

GCD(944, 616) = 581504 / 72688

GCD(944, 616) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 676

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(8, 676) = 1352

GCD(8, 676) = ( 8 x 676 ) / 1352

GCD(8, 676) = 5408 / 1352

GCD(8, 676) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 355

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(4, 355) = 1420

GCD(4, 355) = ( 4 x 355 ) / 1420

GCD(4, 355) = 1420 / 1420

GCD(4, 355) = 1

GCD of 944, 616, 676, 355 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 137, 858, 294, 924
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• GCD of 723, 194, 999, 610

1. What is the GCD of 944, 616, 676, 355?

GCD of 944, 616, 676, 355 is 1

2. Where do I get the detailed procedure to find GCD of 944, 616, 676, 355?

You can find a detailed procedure to find GCD of 944, 616, 676, 355 on our page.

3. How to find GCD of 944, 616, 676, 355 on a calculator?

You can find the GCD of 944, 616, 676, 355 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.